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a: =8/15x1/4=2/15
b: \(=\dfrac{5}{3}\cdot\dfrac{4}{5}\cdot\dfrac{6}{7}=\dfrac{24}{21}=\dfrac{8}{7}\)
c: \(=\dfrac{2}{5}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)=\dfrac{2}{5}\)
a: \(=\dfrac{2}{3}\cdot\dfrac{4}{5}\cdot\dfrac{5}{6}=\dfrac{2}{3}\cdot\dfrac{2}{3}=\dfrac{4}{9}\)
b: \(=\dfrac{5}{6}\cdot\dfrac{1}{5}=\dfrac{1}{6}\)
a. C1: \(\dfrac{8}{15}.\dfrac{5}{6}=\dfrac{4}{9}\)
C2: \(\dfrac{2}{3}.\dfrac{4}{5}.\dfrac{5}{6}=\dfrac{2.4.5}{3.5.3.2}\)
Triệt tiêu phần giống nhau ở tử và mẫu ta có
\(=\dfrac{4}{9}\)
b. \(C1:\left(\dfrac{1}{2}+\dfrac{1}{3}\right).\dfrac{1}{5}=\dfrac{5}{6}.\dfrac{1}{5}=\dfrac{1}{6}\)
C2: \(\dfrac{1}{2}.\dfrac{1}{5}+\dfrac{1}{3}.\dfrac{1}{5}=\dfrac{1}{10}+\dfrac{1}{15}=\dfrac{1}{6}\)
C1 : 11/28 x 1/3 =11/84
C2 : 1/4 x1/3 + 1/7 x 1/3 = 11/84
C1 : 3/28 x 1/3 =1/28
C2 1/4 x1/3 - 1/7 x 1/3 =1/28
1, = 1/8 : 1/6 = 3/4
2, = 5/4 + 1/4 = 3/2
3, = 5/12 + 1/12= 1/2
4, còn số phần là:
1 - ( 3/7 + 2/5) = 6/35 ( phần bể chưa có nước)
`1/2 xx 1/3 xx 1/4`
`= (1xx1xx1)/(2xx3xx4)`
`= 1/24`
__
`1/2 xx 1/3 : 1/4`
`= 1/2 xx 1/3 xx 4`
`= (1xx1xx4)/(2xx3)`
`= 4/6`
`=2/3`
__
`1/2 : 1/3 xx1/4`
`= 1/2 xx 3 xx 1/4`
`=(1xx3xx1)/(2xx4)`
`= 3/8`
__
`1/2 : 1/3 : 1/4`
`= 1/2 xx 3xx4`
`= 12/2`
`=6`
`1/2xx1/3xx1/4`
`=1/24`
`1/2xx1/3:1/4`
`=1/6xx4`
`=4/6=2/3`
`1/2:1/3xx1/4`
`=1/2xx3xx1/4`
`=3/2xx1/4`
`=3/8`
`1/2:1/3:1/4`
`=1/2xx3xx4`
`=6`
(1-\(\frac{1}{2}\))x(1 - \(\frac{1}{3}\))x( 1 -\(\frac{1}{4}\)) (1+\(\frac{1}{2}\)) : ( 1+\(\frac{1}{3}\)) : ( 1 +\(\frac{1}{4}\))
=\(\frac{1}{2}\)x\(\frac{2}{3}\)x\(\frac{3}{4}\) =\(\frac{3}{2}\):\(\frac{4}{3}\):\(\frac{5}{4}\)
=\(\frac{1}{4}\) =\(\frac{9}{10}\)
Chúc bạn học tốt :)